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3 years ago

What is a unit fraction

Mathematics

2 answers:

vodomira [7]3 years ago

8 0

A unit fraction is a fraction that has its own piece

amid [387]3 years ago

3 0

A unit fraction is a rational number written as a fraction where the numerator is one and the denominator is a positive integer. A unit fraction is therefore the reciprocal of a positive integer, 1/n. Examples are 1/1, 1/2, 1/3, 1/4 ,1/5, etc.

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Find the product.<br><br> (5x2−4x+6)(−2x+3)=

Margaret [11]

The answer is -10x^3+23x^2-24x+18

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3 years ago

Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey

tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 7 hours

Sample mean, $\bar{x}$ = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s = 0.55 hours

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}$

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59$

c) Now,

$t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301$

Since,

$t_{stat} < t_{critical}$

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0

3 years ago

3(x-2)+2(x+1)=-14<br> plz show work

Rom4ik [11]

Hello!

First, let's write the problem.
$3\left(x-2\right)+2\left(x+1\right)=-14$
Apply the distributive property on the left side of the equation.
$=3x-6+2x+2$
Add like terms.
$=5x-4$
Let's plug that in into the original equation.
$5x-4=-14$
Add 4 to both sides.
$5x-4+4=-14+4$
$5x=-10$
Divide both sides by 5.
$\frac{5x}{5}=\frac{-10}{5}$

Our final answer would be,
$x=-2$

You can feel free to let me know if you have any questions regarding this!
Thanks!

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Eric runs 3 miles in 28 minutes. at the same rate how many miles would he run in 42 minutes?

Nastasia [14]

3miles/ 28 minutes times 42 minutes is equal to 4.5 miles.

Therefore, Eric run 4.5 miles in 42 minutes.

Hopefully this helps!

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What is the 89,420 divided by 27

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